The antimicrobial properties of silver metal have led to the...

The antimicrobial properties of silver metal have led to the use of silver nanoparticles in clothing (Figure $\mathrm{P} 2.111$ ) to reduce odors. If a silver nanoparticle with a diameter of $1 \times 10^{-7} \mathrm{m}$ contains $4.8 \times 10^{7}$ atoms of $\mathrm{Ag}$, how many nanoparticles are in $1.00 \mathrm{g} ?$ (FIGURE CANNOT COPY)

Key Concepts

Stoichiometry Calculations

Stoichiometry involves the quantitative relationships between reactants and products in chemical reactions, or between the properties of materials. It utilizes the mole concept and molar masses to perform conversions from mass to moles and ultimately to count the number of individual particles, enabling precise calculations in materials science and chemistry.

Avogadro's Number

Avogadro's number is approximately 6.022 x 10^23 and represents the number of atoms, ions, or molecules in one mole of a substance. It serves as the bridge between the microscopic world of atoms and the macroscopic world of grams and liters, allowing chemists to convert between mass and number of particles.

Nanoparticles

Nanoparticles are particles with dimensions on the nanometer scale, typically between 1 and 100 nanometers. They exhibit unique physical, chemical, and biological properties due to their high surface area to volume ratio and quantum effects, which are exploited in areas such as antimicrobial applications and material science.

Mole Concept

The mole is a fundamental unit in chemistry that represents a specific number of particles, typically atoms or molecules. It enables chemists to count large numbers of small particles by relating a measurable mass of a substance to its number of constituent particles through the mole concept.

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